Doing a mini-ITX build for family use, will this hardware be good enough?

[admin89]

i3 4330 is good for most games but not for demanding games
You need i5 4670k @ 4.2GHz or higher if you want to run some demanding GC games like Zelda TP (Hyrule Field) near fullspeed . Not even an i7 4770k @ 4.6GHz could run it fullspeed all the time
Here is proof for that : https://forums.dolphin-emu.org/Thread-oc-ed-4770k-tested-on-legend-of-zelda-twilight-princess
i5 4670 stock won't stand a chance
Emulation is all about CPU raw power .
https://dolphin-emu.org/docs/faq/